Dimensional reduction of higher derivative heterotic supergravity
Abstract
Higher derivative couplings of hypermultiplets to $6D, N=(1,0)$ supergravity are obtained from dimensional reduction of 10D heterotic supergravity that includes order $\alpha'$ higher derivative corrections. Reduction on $T^4$ is followed by a consistent truncation. In the resulting action the hyperscalar fields parametrize the coset $SO(4,4)/(SO(4)\times SO(4))$. While the $SO(4,4)$ symmetry is ensured by Sen's construction based on string field theory, its emergence at the field theory level is a nontrivial phenomenon. A number of field redefinitions in the hypermultiplet sector are required to remove several terms that break the $SO(4)\times SO(4)$ down to its $SO(4)$ diagonal subgroup in the action and the supersymmetry transformation rules. Working with the Lorentz ChernSimons term modified 3form field strength, where the spin connection has the 3form field strength as torsion, is shown to simplify considerably the dimensional reduction.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.13163
 Bibcode:
 2021arXiv211013163C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 40 pages. References added, appendices improved and typos corrected